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The Soret and Dufour effects in statistical dynamics

R. F. Streater
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Abstract

We set up a discrete space-time dynamical model of molecules with thermalised kinetic energy and repulsive cores, in an external potential. The state is specified by a probability on the sample space. One time-step is given by a bistochastic map, followed by a local thermalising map. The model obeys the first and second laws of thermodynamics. The continuum limit, obtained using a MAPLE program, gives rise to coupled nonlinear reaction-diffusion equations for the density and temperature fields. The system obeys Onsager symmetry and exhibits the Soret and Dufour effects.

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R. F. Streater. 1999-10-27. The Soret and Dufour effects in statistical dynamics. https://arxiv.org/abs/math-ph/9910043

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